Answer
x = $\frac{\pi}{6}$, $\frac{11\pi}{6}$, $\frac{5\pi}{6}$, $\frac{7\pi}{6}$
Work Step by Step
$4cos^{2}(x) - 3 = 0$
We can manipulate the equation as follows:
$4cos^{2}(x) = 3$
$cos^{2}(x) = \frac{3}{4}$
$cos(x) = \sqrt \frac{3}{4}$ = $\frac{\sqrt 3}{2}$
This gives 4 possible solutions:
x = $\frac{\pi}{6}$, $\frac{11\pi}{6}$, $\frac{5\pi}{6}$, $\frac{7\pi}{6}$
